{"title":"Numeration Systems","authors":"","doi":"10.1142/9789813274822_0002","DOIUrl":"https://doi.org/10.1142/9789813274822_0002","url":null,"abstract":"","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131911697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Binary Operations","authors":"Czesław Byli´nski","doi":"10.1142/9789813274822_0003","DOIUrl":"https://doi.org/10.1142/9789813274822_0003","url":null,"abstract":"Let A be a set. A unary operation on A is a function fromA into A. A binary operation onA is a function from[:A, A:] into A. We adopt the following convention: u is a unary operation on A, o, o′ are binary operations on A, anda, b, c, e, e1, e2 are elements of A. In this article we present several logical schemes. The scheme BinOpExdeals with a non empty setA and a ternary predicate P , and states that: There exists a binary operation o on A such that for all elements a, b of A holds P [a,b,o(a, b)] provided the following condition is satisfied: • For all elementsx, y of A there exists an element z of A such thatP [x,y,z]. The schemeBinOpLambdadeals with a non empty set A and a binary functor F yielding an element ofA , and states that: There exists a binary operationonA such that for all elements a, b of A holdso(a, b) = F (a,b) for all values of the parameters. Let us consider A, o. We say that o is commutative if and only if:","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122794946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Alfred S. Posamentier, Gary Kose, Danielle Sauro Virgadamo, Kathleen Keefe-Cooperman
{"title":"The Psychology of Problem Solving","authors":"Alfred S. Posamentier, Gary Kose, Danielle Sauro Virgadamo, Kathleen Keefe-Cooperman","doi":"10.1142/11426","DOIUrl":"https://doi.org/10.1142/11426","url":null,"abstract":"","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115046146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Alfred S. Posamentier, Gavrielle Levine, Aaron Lieberman, Danielle Sauro Virgadamo
{"title":"Tools to Help Your Children Learn Math","authors":"Alfred S. Posamentier, Gavrielle Levine, Aaron Lieberman, Danielle Sauro Virgadamo","doi":"10.1142/11019","DOIUrl":"https://doi.org/10.1142/11019","url":null,"abstract":"","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"9 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120908409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Hot Hand","authors":"","doi":"10.1142/9789813231573_0015","DOIUrl":"https://doi.org/10.1142/9789813231573_0015","url":null,"abstract":"","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132065916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Understanding Zero","authors":"S. Vignieri","doi":"10.1126/science.360.6393.1082-q","DOIUrl":"https://doi.org/10.1126/science.360.6393.1082-q","url":null,"abstract":"","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"150 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134065344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"FRONT MATTER","authors":"Ruwa Jurai","doi":"10.1142/9789811237119_fmatter","DOIUrl":"https://doi.org/10.1142/9789811237119_fmatter","url":null,"abstract":"","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1939-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122795491","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mathematics: Its Historical Aspects, Wonders and Beyond","authors":"Alfred S. Posamentier, A. Kramer","doi":"10.1142/12594","DOIUrl":"https://doi.org/10.1142/12594","url":null,"abstract":"","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122205773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Creative Secondary School Mathematics","authors":"Alfred S. Posamentier","doi":"10.1142/12373","DOIUrl":"https://doi.org/10.1142/12373","url":null,"abstract":"","PeriodicalId":177228,"journal":{"name":"Problem Solving in Mathematics and Beyond","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115913878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}